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Finding the Fourth Proportional to 6,341.52, 9,509.58 and 3,176.87

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Solution

The fourth proportional to 6,341.52, 9,509.58 and 3,176.87 is: 4,763.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.52 : 9,509.58 = 3,176.87 : x
  2. Step 2: Convert to fraction form
    6,341.52/9,509.58 = 3,176.87/x
  3. Step 3: Cross multiply
    6,341.52x = 9,509.58 × 3,176.87
  4. Step 4: Simplify right side
    6,341.52x = 30,210,651.87
  5. Step 5: Solve for x
    x = 30,210,651.87/6,341.52
  6. Step 6: Final answer
    x = 4,763.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.